Cambridge IGCSE Mathematics 0580 — 2018 Oct/Nov Paper 1 · Variant 3
0580/13/O/N/18 · 26 questions · 56 marks · ≈63 min
The question paper and its mark scheme, free to read here and free to download. This is Cambridge’s own paper, exactly as it was sat.
Question paper8 pages
Mark scheme5 pages
Answers below. Sit the paper first if you are practising.
Questions as text
Q1 · Measure the length of this line in centimetres
1 Measure the length of this line in centimetres. .......................................... cm [1]
Mark scheme: Question Answer Marks Partial Marks 1 7.4 1
Q2 · Work out of 198 kg
72 Work out of 198 kg. 11 ........................................... kg [1]
Mark scheme: 2 126 1
Q3 · Work out $1.45 as a percentage of $72.50
3 Work out $1.45 as a percentage of $72.50 . ............................................ % [1]
Mark scheme: 3 2 1
Question 4
4 Calculate. 5.39 - 0.98 0.743 - 0.0743 .................................................[1]
Mark scheme: 4 6.59 or 6.594 to 6.595 1
Question 5
5 Factorise. y - 2y 2 .................................................[1]
Mark scheme: 5 y(1 – 2y) final answer 1
Q6 · - 3 6 Work out - c 5 m c 4m
2 - 3 6 Work out - c 5 m c 4m. [1] f p
Mark scheme: 6 5 1 1
Q7 · On the shape, draw all the lines of symmetry
7 On the shape, draw all the lines of symmetry. [2]
Mark scheme: 7 Both lines of symmetry only drawn 2 B1 each correct line Penalise 1 for each incorrect line
Q8 · Share $72 in the ratio 5 : 4
8 Share $72 in the ratio 5 : 4. $ ................ , $ ................ [2]
Mark scheme: 8 40 : 32 2 M1 for 72 ÷ (5 + 4) If 0 scored SC1 for both correct but reversed
Q9 · At noon on Wednesday, the temperature was 5 °C
9 (a) At noon on Wednesday, the temperature was 5 °C. At midnight, the temperature was 8 °C lower. Work out the temperature at midnight. ........................................... °C [1] (b) At noon on Saturday, the temperature was 15 °C. At midnight, the temperature was –3 °C. Work out the difference in these temperatures. ........................................... °C [1]
Mark scheme: 9(a) −3 1 9(b) 18 1
Question 10
10 Simplify. 2p - q - 3q - 5p ................................................. [2]
Mark scheme: 10 −3p – 4q final answer 2 B1 for −3p or −4q
Q11 · Write these numbers correct to 2 significant figures
11 Write these numbers correct to 2 significant figures. (a) 0.076 499 ................................................. [1] (b) 10 100 ................................................. [1]
Mark scheme: 11(a) 0.076 cao 1 11(b) 10 000 cao 1
Q12 · 212 Without using a calculator, work out '
1 212 Without using a calculator, work out ' . 4 3 You must show all your working and give your answer as a fraction. ................................................. [2]
Mark scheme: 12 1 3 3 8 M1 × or ÷ oe 4 2 12 12 3 A1 Accept equivalent fractions oe 8
Q13 · Write the number five million, two hundred and seven in figures
13 (a) Write the number five million, two hundred and seven in figures. ................................................. [1] (b) Write 0.008 13 in standard form. ................................................. [1]
Mark scheme: 13(a) 5 000 207 1 13(b) 8.13 × 10–3 1
Q14 · Write down all the factors of 30
14 Write down all the factors of 30. ................................................................................. [2]
Mark scheme: 14 1, 2, 3, 5, 6, 10, 15, 30 2 B1 for 4 or more correct factors and none incorrect or 8 correct factors and only 1 extra or 1 × 30, 2 × 15, 3 × 10 and 5 × 6
Q15 · Ethan has a box of toys
15 Ethan has a box of toys. He takes a toy at random. Toy Car Train Bus Other Probability 0.2 0.45 0.08 Complete the table. [2]
Mark scheme: 15 0.27 oe 2 M1 for 1 − (0.2 + 0.45 + 0.08) oe
Q16 · For the line y = 4x - 6 , write down (a) the gradient…
16 For the line y = 4x - 6 , write down (a) the gradient, ................................................. [1] (b) the y-intercept. ................................................. [1]
Mark scheme: 16(a) 4 cao 1 16(b) −6 cao 1
Q17 · The mass, m kilograms, of Katy’s suitcase is 31 kg, correct to the nearest kilogram
17 The mass, m kilograms, of Katy’s suitcase is 31 kg, correct to the nearest kilogram. Complete the statement about the value of m. .................. G m 1 .................. [2]
Mark scheme: 17 30.5 31.5 2 B1 for each If 0 scored SC1 for both correct but reversed
Q18 · 16 7 23 18 73 20 95 17 89 54 For this list of numbers, find (a) the median…
18 16 7 23 18 73 20 95 17 89 54 For this list of numbers, find (a) the median, ................................................. [2] (b) the range. ................................................. [1]
Mark scheme: 18(a) 21.5 2 M1 for at least the first or last 6 values listed in order or 20 and 23 identified 18(b) 88 1
Q19 · NOT TO x° 55° 42° SCALE 153° Find the value of x
19 (a) NOT TO x° 55° 42° SCALE 153° Find the value of x. x = ................................................ [1] (b) A 48° NOT TO SCALE y° B C D ABC is an isosceles triangle and BCD is a straight line. Find the value of y. y = ................................................ [2]
Mark scheme: 19(a) 110 1 19(b) 114 2 M1 for (180 – 48) ÷ 2
Q20 · Work out the size of an interior angle of a regular 20-sided polygon
20 Work out the size of an interior angle of a regular 20-sided polygon. ................................................. [3]
Mark scheme: 20 162 3 M2 for 180 – (360 ÷ 20) oe or M1 for 360 ÷ 20 soi by 18
Q21 · The table shows the number of pets owned by each of the 95 students in a school
21 The table shows the number of pets owned by each of the 95 students in a school. Number of pets Frequency 0 5 1 14 2 39 3 14 4 23 Calculate the mean number of pets. ................................................. [3]
Mark scheme: 21 2.38 or 2.378 to 2.379 3 M1 ∑(pets × frequency) M1 dep their 226 ÷ 95
Q22 · P A NOT TO 23 cm SCALE x cm B C Q R 8 cm 20 cm Triangle ABC is similar to triangle PQR
22 P A NOT TO 23 cm SCALE x cm B C Q R 8 cm 20 cm Triangle ABC is similar to triangle PQR. Find the value of x. x = ................................................ [2]
Mark scheme: 22 9.2 2 x 23 M1 for = oe 8 20 2 or correct scale factor, 2.5 or seen 5
Q23 · Y 8 7 6 B 5 4 A 3 2 1 0 x –5 –4 –3 –2 –1 1 2 3 4 5 6 –1 –2 –3 –4 (a) Write down the…
23 y 8 7 6 B 5 4 A 3 2 1 0 x –5 –4 –3 –2 –1 1 2 3 4 5 6 –1 –2 –3 –4 (a) Write down the co-ordinates of point A. ( ................. , .................) [1] (b) Plot the point C at (4, −3). [1] (c) Find the vector AB. AB = [1] f p Questions 24, 25 and 26 are printed on the next page.
Mark scheme: 23(a) (5, 3) 1 23(b) Point plotted at (4, −3) 1 23(c) −8 1 2
Q24 · A car travels at 108 km/h for 20 seconds
24 A car travels at 108 km/h for 20 seconds. Calculate the distance the car travels. Give your answer in metres. ............................................ m [3]
Mark scheme: 24 600 3 108 × 1000 × 20 M2 for oe 60 × 60 108 × 1000 or M1 for oe 60 × 60 or for figs108 × time oe
Q25 · Jo invests $5000 at a rate of 2% per year compound interest
25 Jo invests $5000 at a rate of 2% per year compound interest. Calculate the value of her investment at the end of 3 years. $ ................................................ [3]
Mark scheme: 25 5306.04 3 3 2 M2 for 5000 × 1 + oe 100 2 2 or M1 for 5000 × 1 + oe 100 If 0 scored SC1 for 306.04
Question 26
26 Solve. (a) 3w - 7 = 32 w = ................................................ [2] (b) 4(5x + 7) = 42 x = ................................................ [3]
Mark scheme: 26(a) 13 2 7 32 M1 for 3w = 32 + 7 or w − = or 3 3 better 26(b) 7 3 M1 for first correct step 0.7 or M1 for second correct step, FT their 10 first step
What was in this paper
The subtopics covered by these 26 questions, and how many questions each got. Open one in a new tab to see every Cambridge question on it.
What you needed in this session
Cambridge’s own grade thresholds for 2018 Oct/Nov, Paper 1 · Variant 3. A higher threshold means an easier paper — the bar moves with how the cohort did.